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Laplacian spectrum of rounded knot network and its applications.

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Title: Laplacian spectrum of rounded knot network and its applications.
Authors: Wang, Ling1 (AUTHOR), Wu, Bo1 (AUTHOR) bowu8800@nufe.edu.cn
Source: International Journal of Modern Physics C: Computational Physics & Physical Computation. May2026, Vol. 37 Issue 5, p1-14. 14p.
Subjects: Topology, Helical structure, Molecular graphs, Graph connectivity, Spectral theory, Random walks, Knot theory
Abstract: The Laplacian spectrum of a network encompasses the topology and structural characteristics of the network, as well as some dynamic characteristics, especially information related to random walks. In recent years, topological indices have become a research hotspot in the field of chemical graph theory, as these indices can accurately characterize the topological structure of molecular graphs for simulating compounds. The helix structure is the core structure of biomolecules and has received widespread attention from scientists in the chemical field. In this paper, the helix structure is introduced into the phenylene-quadrilateral networks, resulting in the generation of a rounded knot network. To analyze the network, based on the relationship between the coefficients and roots of the characteristic polynomial, we propose a recursive method to calculate its Kirchhoff index, the Mean First Passage Time (MFPT) and the number of spanning trees. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modern Physics C: Computational Physics & Physical Computation is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 189732898
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Laplacian spectrum of rounded knot network and its applications.
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  Data: <searchLink fieldCode="AR" term="%22Wang%2C+Ling%22">Wang, Ling</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wu%2C+Bo%22">Wu, Bo</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> bowu8800@nufe.edu.cn</i>
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  Data: <searchLink fieldCode="DE" term="%22Topology%22">Topology</searchLink><br /><searchLink fieldCode="DE" term="%22Helical+structure%22">Helical structure</searchLink><br /><searchLink fieldCode="DE" term="%22Molecular+graphs%22">Molecular graphs</searchLink><br /><searchLink fieldCode="DE" term="%22Graph+connectivity%22">Graph connectivity</searchLink><br /><searchLink fieldCode="DE" term="%22Spectral+theory%22">Spectral theory</searchLink><br /><searchLink fieldCode="DE" term="%22Random+walks%22">Random walks</searchLink><br /><searchLink fieldCode="DE" term="%22Knot+theory%22">Knot theory</searchLink>
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  Label: Abstract
  Group: Ab
  Data: The Laplacian spectrum of a network encompasses the topology and structural characteristics of the network, as well as some dynamic characteristics, especially information related to random walks. In recent years, topological indices have become a research hotspot in the field of chemical graph theory, as these indices can accurately characterize the topological structure of molecular graphs for simulating compounds. The helix structure is the core structure of biomolecules and has received widespread attention from scientists in the chemical field. In this paper, the helix structure is introduced into the phenylene-quadrilateral networks, resulting in the generation of a rounded knot network. To analyze the network, based on the relationship between the coefficients and roots of the characteristic polynomial, we propose a recursive method to calculate its Kirchhoff index, the Mean First Passage Time (MFPT) and the number of spanning trees. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Modern Physics C: Computational Physics & Physical Computation is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1142/S0129183125501062
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 14
        StartPage: 1
    Subjects:
      – SubjectFull: Topology
        Type: general
      – SubjectFull: Helical structure
        Type: general
      – SubjectFull: Molecular graphs
        Type: general
      – SubjectFull: Graph connectivity
        Type: general
      – SubjectFull: Spectral theory
        Type: general
      – SubjectFull: Random walks
        Type: general
      – SubjectFull: Knot theory
        Type: general
    Titles:
      – TitleFull: Laplacian spectrum of rounded knot network and its applications.
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            NameFull: Wang, Ling
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            NameFull: Wu, Bo
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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              Value: 37
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              Value: 5
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            – TitleFull: International Journal of Modern Physics C: Computational Physics & Physical Computation
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